| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1707621 | Applied Mathematics Letters | 2015 | 8 Pages |
Abstract
We identify a sub-threshold for finite time shock formation in solutions to the one-dimensional hyperbolic Keller–Segel model. The main result states that under some assumptions on the initial potential, if the slope of the initial density is above a threshold at even one location, the solution must become discontinuous in finite time.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Yongki Lee, Hailiang Liu,